# Chapter 02 Prove that if a Set of Vectors is Linearly Independent, then a Subset of it is also Linearly Independent

##### Vectors (CHAPTER 2)
###### Topic

Prove that if a set of vectors is linearly independent, then a subset of it is also linearly independent.

###### Description

Learn that if a set of vectors is linearly independent, then a subset of it is also linearly independent.

This video teaches you that if a set of vectors is linearly independent, then a subset of it is also linearly independent.

###### All Videos for this Topic
• Prove that if a set of vectors contains a null vector, the set of vectors is linearly dependent [YOUTUBE 2:29] [TRANSCRIPT]
• Prove that if a set of vectors is linearly independent, then a subset of it is also linearly independent [YOUTUBE 5:42][TRANSCRIPT]
• Prove that if a set of vectors is linearly dependent, then at least one vector can be written as a linear combination of others [YOUTUBE 4:06] [TRANSCRIPT]
• How can vectors be used to write simultaneous linear equations? [YOUTUBE 5:08] [TRANSCRIPT]
• How can vectors be used to write simultaneous linear equations? Example [YOUTUBE 3:13][TRANSCRIPT]
###### Complete Resources

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